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\frac{1}{2}x-1.5x=0
Subtract 1.5x from both sides.
-x=0
Combine \frac{1}{2}x and -1.5x to get -x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, x must be equal to 0.